{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# IQ Sampling"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating Power Spectral Density\n",
    "\n",
    "We must do the following six operations to calculate PSD:\n",
    "\n",
    "1) Take the FFT of our samples. If we have x samples, the FFT size will be the length of x by default. Let’s use the first 1024 samples as an example to create a 1024-size FFT. The output will be 1024 complex floats.\n",
    "2) Take the magnitude of the FFT output, which provides us 1024 real floats.\n",
    "3) Square the resulting magnitude to get power.\n",
    "4) Normalize: divide by the FFT size (N) and sample rate (Fs).\n",
    "5) Convert to dB using 10 \\log_{10}(); we always view PSDs in log scale.\n",
    "6) Perform an FFT shift, covered in the previous chapter, to move “0 Hz” in the center and negative frequencies to the left of center."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "Fs = 1e6 # lets say we sampled at 1 MHz\n",
    "# assume x contains your array of IQ samples\n",
    "N = 1024\n",
    "x = np.arange(0,N) # we will only take the FFT of the first 1024 samples, see text below\n",
    "# x = x * np.hamming(len(x)) # apply a Hamming window\n",
    "PSD = np.abs(np.fft.fft(x))**2 / (N*Fs)\n",
    "PSD_log = 10.0*np.log10(PSD)\n",
    "PSD_shifted = np.fft.fftshift(PSD_log)\n",
    "\n",
    "center_freq = 2.4e9 # frequency we tuned our SDR to\n",
    "f = np.arange(Fs/-2.0, Fs/2.0, Fs/N) # start, stop, step.  centered around 0 Hz\n",
    "f += center_freq # now add center frequency\n",
    "plt.ticklabel_format(style='sci', axis='x', scilimits=(0,0))\n",
    "plt.plot(f, PSD_shifted)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to find the PSD of millions of samples, don’t do a million-point FFT because it will probably take forever. It will give you an output of a million “frequency bins”, after all, which is too much to show in a plot. Instead I suggest doing multiple smaller PSDs and averaging them together or displaying them using a spectrogram plot. Alternatively, if you know your signal is not changing fast, it’s adequate to use a few thousand samples and find the PSD of those; within that time-frame of a few thousand samples you will likely capture enough of the signal to get a nice representation.\n",
    "\n",
    "Here is a full code example that includes generating a signal (complex exponential at 50 Hz) and noise. Note that N, the number of samples to simulate, becomes the FFT length because we take the FFT of the entire simulated signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/eddie/Coding/PySDR/.venv/lib/python3.9/site-packages/matplotlib/cbook/__init__.py:1335: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fs = 300 # sample rate\n",
    "Ts = 1/Fs # sample period\n",
    "N = 2048 # number of samples to simulate\n",
    "\n",
    "t = Ts*np.arange(N)\n",
    "x = np.exp(1j*2*np.pi*50*t) # simulates sinusoid at 50 Hz\n",
    "n = (np.random.randn(N) + 1j*np.random.randn(N))/np.sqrt(2) # complex noise with unity power\n",
    "plt.plot(t, n)\n",
    "plt.title(\"Complex Noise\")\n",
    "plt.xlabel(\"time\")\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "noise_power = 2\n",
    "r = x + n * np.sqrt(noise_power)\n",
    "plt.plot(t, r)\n",
    "plt.title(\"Sine wave + noise\")\n",
    "plt.xlabel(\"time\")\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "PSD = np.abs(np.fft.fft(r))**2 / (N*Fs)\n",
    "PSD_log = 10.0*np.log10(PSD)\n",
    "PSD_shifted = np.fft.fftshift(PSD_log)\n",
    "\n",
    "f = np.arange(Fs/-2.0, Fs/2.0, Fs/N) # start, stop, step\n",
    "\n",
    "plt.plot(f, PSD_shifted)\n",
    "plt.xlabel(\"Frequency [Hz]\")\n",
    "plt.ylabel(\"Magnitude [dB]\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
